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Finding the Fourth Proportional to 12,741.06, 17,582.68 and 7,152.06

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Solution

The fourth proportional to 12,741.06, 17,582.68 and 7,152.06 is: 9,869.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,741.06 : 17,582.68 = 7,152.06 : x
  2. Step 2: Convert to fraction form
    12,741.06/17,582.68 = 7,152.06/x
  3. Step 3: Cross multiply
    12,741.06x = 17,582.68 × 7,152.06
  4. Step 4: Simplify right side
    12,741.06x = 125,752,382.32
  5. Step 5: Solve for x
    x = 125,752,382.32/12,741.06
  6. Step 6: Final answer
    x = 9,869.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.